Chemostate analysis
Consider this schematic:
where
[S] is the concentration of growth limiting substrate
F or V is the volumetric flow rate of S into the chemostat
V is the reactor volume
x is the biomass per unit volume (x = biomass/V)
is the biomass growth rate
is the residence time in the reactor (=V/F)
D is the dilution rate (D=F/V)
Cell growth kinetics: rx=x
a) What are the units for rx?
b) Assuming sterile feed, write a steady-state material balance for x.
c) Make a plot of x (y-axis) and S (second y-axis) as a function of D.
d) What happens if D is very large?
Good luck